{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "\"\"\"\n",
    "Python numpy code for Latent Semantic Analysis\n",
    "on a synthetic dataset.\n",
    "(LSA). \n",
    "\"\"\"\n",
    "import torch\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Singular values are:\n",
      "4867.56982421875, 118.05858612060547, 19.686044692993164\n"
     ]
    }
   ],
   "source": [
    "num_examples = 500\n",
    "\n",
    "torch.manual_seed(42)\n",
    "\n",
    "# We create a random feature vector\n",
    "x0 = torch.normal(0, 100, (num_examples,)).round()\n",
    "\n",
    "# Then we create another feature vector which is\n",
    "# highly correlated with the previous feature:\n",
    "# x1 = 2 * x0.\n",
    "# We add random noise to this second feature.\n",
    "# Thus x0 and x1 are highly correlated.\n",
    "random_noise = torch.normal(0, 2, (num_examples,)).round()\n",
    "\n",
    "x1 = 2*x0 + random_noise\n",
    "\n",
    "# x2 is a random vector with all values close to 0\n",
    "x2 = torch.normal(0, 5, (num_examples,)).round()\n",
    "\n",
    "# Create a 3D dataset X = [x0 x1 x2]\n",
    "X = torch.column_stack((x0, x1, x2))\n",
    "\n",
    "# Perform SVD\n",
    "U, S, V_t = torch.linalg.svd(X)\n",
    "V = V_t.T\n",
    "\n",
    "# Note: the third singular value is very low\n",
    "#       relative to the first.\n",
    "print(\"Singular values are:\\n{}, {}, {}\".\\\n",
    "      format(S[0], S[1], S[2]))\n",
    "\n",
    "# Assert that the row vectors of V are orthogonal\n",
    "assert torch.allclose(torch.matmul(V.T, V), torch.eye(3), atol=1e-6)\n",
    "\n",
    "# Assert that the column vectors are orthonormal\n",
    "assert torch.allclose(torch.linalg.norm(V, axis=0),\n",
    "                   torch.ones(3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#3D plotting of the points and principal components\n",
    "from mpl_toolkits import mplot3d\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "fig = plt.figure()\n",
    "\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "ax.scatter3D(X[:, 0], X[:, 1], X[:, 2],\n",
    "             alpha = 0.5)\n",
    "mean = torch.mean(X, axis=0)\n",
    "\n",
    "pc0 = V[:, 0].numpy()\n",
    "pc1 = V[:, 1].numpy()\n",
    "\n",
    "#plot the first principal component\n",
    "pc0_line = np.array([t * pc0\n",
    "                     for t in np.linspace(-300,\n",
    "                                          300, 20)])\n",
    "ax.plot(pc0_line[:,0], pc0_line[:, 1],\n",
    "        pc0_line[:, 2], c= 'red')\n",
    "\n",
    "#plot the second principal component\n",
    "pc1_line = np.array([t * pc1\n",
    "                     for t in np.linspace(-10,\n",
    "                                          10, 10)])\n",
    "ax.plot(pc1_line[:,0], pc1_line[:, 1],\n",
    "        pc1_line[:, 2], c= 'purple')\n",
    "\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
